Results 21 to 30 of about 68,261 (266)

RINGS WITH AN ELEMENTARY ABELIAN p-GROUP OF UNITS

open access: yesJournal of Commutative Algebra, 2023
11 pages, 1 figure, to appear in the Journal of Commutative ...
Chebolu, Sunil K.   +3 more
openaire   +3 more sources

Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane} We investigate the hypotheses on a solvability of the full collineation group for non-Desarguesian semifield projective plane of a finite order (the question 11.76 in ...
O. V. Kravtsova
doaj   +1 more source

Determine the value d(M(G)) for non-abelian p-groups of order q = pnk of Nilpotency c

open access: yesRatio Mathematica, 2020
In this paper we prove that if n, k and t be positive integer numbers such that t < k < n and G is a non abelian p-group of order pnk  with derived subgroup of order pkt  and nilpotency class c, then the minimal number of generators of G is at most p1 2 (
Behnam Razzaghmaneshi
doaj   +1 more source

How SU(2)$_4$ Anyons are Z$_3$ Parafermions

open access: yesSciPost Physics, 2017
We consider the braid group representation which describes the non-abelian braiding statistics of the spin $1/2$ particle world lines of an SU(2)$_4$ Chern-Simons theory.
Richard Fern, Johannes Kombe, Steven H. Simon
doaj   +1 more source

Modular invariants detecting the cohomology of BF_4 at the prime 3 [PDF]

open access: yes, 2007
Attributed to J F Adams is the conjecture that, at odd primes, the mod-p cohomology ring of the classifying space of a connected compact Lie group is detected by its elementary abelian p-subgroups.
Broto, Carles
core   +3 more sources

On the structure of finite groups associated to regular non-centralizer graphs

open access: yesAIMS Mathematics, 2023
The non-centralizer graph of a finite group $ G $ is the simple graph $ \Upsilon_G $ whose vertices are the elements of $ G $ with two vertices are adjacent if their centralizers are distinct.
Tariq A. Alraqad , Hicham Saber
doaj   +1 more source

Rigid automorphisms of linking systems

open access: yesForum of Mathematics, Sigma, 2021
A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
doaj   +1 more source

Rings associated to coverings of finite p-groups [PDF]

open access: yes, 2016
In general the endomorphisms of a non-abelian group do not form a ring under the operations of addition and composition of functions. Several papers have dealt with the ring of functions defined on a group which are endomorphisms when restricted to the ...
Walls, Gary, Wang, Linhong
core   +1 more source

Wielandt′s Theorem and Finite Groups with Every Non-nilpotent Maximal Subgroup with Prime Index

open access: yesJournal of Harbin University of Science and Technology, 2023
In order to give a further study of the solvability of a finite group in which every non-nilpotent maximal subgroup has prime index, the methods of the proof by contradiction and the counterexample of the smallest order and a theorem of Wielandt on the ...
TIAN Yunfeng, SHI Jiangtao, LIU Wenjing
doaj   +1 more source

An approach to Quillen’s conjecture via centralisers of simple groups

open access: yesForum of Mathematics, Sigma, 2021
For any given subgroup H of a finite group G, the Quillen poset ${\mathcal {A}}_p(G)$ of nontrivial elementary abelian p-subgroups is obtained from ${\mathcal {A}}_p(H)$ by attaching elements via their centralisers in H.
Kevin Iván Piterman
doaj   +1 more source

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